• Title/Summary/Keyword: Numerical approach

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A Study on the Stochastic Sensitivity Analysis in Dynamics of Shell Structure (쉘 구조물의 확률적 동적 민감도 해석에 관한 연구)

  • Bae, Dong-Myung;Lee, Chang-Hoon
    • Journal of the Korean Society of Fisheries and Ocean Technology
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    • v.34 no.3
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    • pp.328-338
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    • 1998
  • It is main objective of this approach to present a method to analyse stochastic design sensitivity for problems of structural dynamics with randomness in design parameters. A combination of the adjoint variable approach and the second oder perturbation method is used in the finite element approach. An alternative form of the constant functional that holds for all times is introduced to consider the time response of dynamic sensitivity. The terminal problem of the adjoint system is solved using equivalent homogeneous equations excited by initial velocities. The numerical procedures are shown to be much more efficient when based on the fold superposition method : the generalized co-ordinates are normalized and the correlated random variables are transformed to uncorrelated variables, where as the secularities are eliminated by the fast Fourier transform of complex valued sequences. Numerical algorithms have been worked out and proved to be accurate and efficient : they codes whose element derivative matrices can be explicitly generated. The numerical results of two cases - 2-dimensional portal frame and 3/4-cylindrical shell structure - for the deterministic and stochastic sensitivity analysis illustrates in this paper.

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Feasibility Study on Similarity Principle in Discrete Element Analysis (이산요소법을 이용한 수치해석에서의 상사성 이론의 적용성 검토)

  • Yun, Taeyoung;Park, Hee Mun
    • International Journal of Highway Engineering
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    • v.18 no.2
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    • pp.51-60
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    • 2016
  • PURPOSES : The applicability of the mechanics-based similarity concept (suggested by Feng et al.) for determining scaled variables, including length and load, via laboratory-scale tests and discrete element analysis, was evaluated. METHODS: Several studies on the similarity concept were reviewed. The exact scaling approach, a similarity concept described by Feng, was applied in order to determine an analytical solution of a free-falling ball. This solution can be considered one of the simplest conditions for discrete element analysis. RESULTS : The results revealed that 1) the exact scaling approach can be used to determine the scale of variables in laboratory tests and numerical analysis, 2) applying only a scale factor, via the exact scaling approach, is inadequate for the error-free replacement of small particles by large ones during discrete element analysis, 3) the level of continuity of flowable materials such as SCC and cement mortar seems to be an important criterion for evaluating the applicability of the similarity concept, and 4) additional conditions, such as the kinetics of particle, contact model, and geometry, must be taken into consideration to achieve the maximum radius of replacement particles during discrete element analysis. CONCLUSIONS : The concept of similarity is a convenient tool to evaluate the correspondence of scaled laboratory test or numerical analysis to physical condition. However, to achieve excellent correspondence, additional factors, such as the kinetics of particles, contact model, and geometry, must be taken into consideration.

ALTERNATIVE NUMERICAL APPROACHES TO THE JUMP-DIFFUSION OPTION VALUATION

  • CHOI BYUNG WOOK;KI HO SAM;LEE MI YOUNG
    • Journal of applied mathematics & informatics
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    • v.17 no.1_2_3
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    • pp.519-536
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    • 2005
  • The purpose of this paper is to propose several approximating methods to obtain the American option prices under jump-diffusion processes. The first method is to extend an approximating method to the optimal exercise boundary by a multipiece exponential function suggested by Ju [17]. The second approach is to modify the analytical methods of MacMillan [20] and Zhang [25] in a discrete time space. The third approach is to apply the simulation technique of Ibanez and Zapareto [14] to the problem of American option pricing when the jumps are allowed. Finally, we compare the numerical performance of each suggesting method with those of the previous numerical approaches.

Numerical analysis of condensation in the condenser using the porous medium approach (다공성 매질 개념을 이용한 응축기의 응축 열전달에 관한 수치 해석)

  • Je, Jun-Ho;Choi, Chi-Woong;Kim, Moo-Hwan
    • Proceedings of the KSME Conference
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    • 2007.05b
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    • pp.2261-2266
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    • 2007
  • In this study, the numerical analysis to estimate condensation heat and mass transfer of the condenser was carried out using the PMA (porous medium approach). In the PMA, the details of tube bundle in the condenser are replaced by the porous medium, and the flow resistance term is added in the momentum equation. In this regard, the PMA is quite helpful for the study of tube bundle in the large condenser. The pressure loss through tube bundle can be compensated by viscous and inertial momentum sink terms, which was validated numerically. Value of the pressure drop was compared to that of Butterworth correlation. Three dimensional analysis of condensation for McAllister condenser with the PMA was conducted using Fluent 6.2 and UDFs (use-defined functions). The result of condensation rate was analogous to previous results (experimental and numerical data).

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Proposed large-scale modelling of the transient features of a downburst outflow

  • Lin, W.E.;Orf, L.G.;Savory, E.;Novacco, C.
    • Wind and Structures
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    • v.10 no.4
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    • pp.315-346
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    • 2007
  • A preceding companion article introduced the slot jet approach for large-scale quasi-steady modelling of a downburst outflow. This article extends the approach to model the time-dependent features of the outflow. A two-dimensional slot jet with an actuated gate produces a gust with a dominant roll vortex. Two designs for the gate mechanism are investigated. Hot-wire anemometry velocity histories and profiles are presented. As well, a three-dimensional, subcloud numerical model is used to approximate the downdraft microphysics, and to compute stationary and translating outflows at high resolution. The evolution of the horizontal and vertical velocity components is examined. Comparison of the present experimental and numerical results with field observations is encouraging.

Numerical Analysis on Melting and Solidification of Pure Metals with Enthalpy-Porosity Model

  • Kim, Sin;Chung, Bun-Jin;Kim, Min-Chan
    • Journal of Energy Engineering
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    • v.11 no.2
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    • pp.99-105
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    • 2002
  • A finite volume numerical approach is developed and used to simulate convection-dominated melting and solidification problems. The present approach is based on the enthalpy-porosity method that is traditionally used to track the motion of the liquid-solid front and to obtain the temperature and velocity profiles in the liquid-phase. The enthalpy-porosity model treats the solid-phase as the porosity in all computational cells that are located on the solid-liquid interfacial boundary. Concerning the computational cells that are fully located in the solid side of the interfacial boundary, the zero value of the porosity severely suppresses the velocity vector to practically a non-existent value that could be set equal to zero. A comparative analysis with the previous numerical approaches is performed to demonstrate the improved features of the presented model. Results of a melting and solidification experiments are also used to assess and evaluate the performance of the model.

Numerical Study of Sound Generation Mechanism by a Blast Wave (폭발파에 의한 음향파 생성 메커니즘의 수치적 연구)

  • Bin, Jong-Hoon
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.19 no.10
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    • pp.1053-1061
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    • 2009
  • The goal of this paper is to investigate the generation characteristics of the main impulsive noise sources generated by the supersonic flow discharging from a muzzle. For this, this paper investigates two fundamental mechanisms to sound generation in shocked flows: shock motion and shock deformation. Shock motion is modeled numerically by examining the interaction of a sound wave with a shock. The numerical approach is validated by comparison with results obtained by linear theory for a small disturbance case. Shock deformations are modeled numerically by examining the interaction of a vortex ring with a blast wave. A numerical approach of a dispersion-relation-preserving(DRP) scheme is used to investigate the sound generation and propagation by their interactions in near-field.

Numerical Study of Flame Structure and Emission Characteristics in Metal Fiber Burners (메탈화이버 버너의 화염구조 및 공해물질 배출 특성)

  • Jeong, Jun-Young;Kim, Yong-Mo
    • Journal of the Korean Society of Combustion
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    • v.16 no.3
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    • pp.27-32
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    • 2011
  • This study has numerically investigated the flame structure and emission characteristics in the metal fiber burner. The one-dimensional premixed flame approach has been adopted to simulate the combustion processes of the metal fiber burner. Numerical results indicate that the present approach is capable of predicting the essential combustion characteristics of the metal fiber burner. Based on numerical results, the detailed discussion has been made for the effects of equivalence ratio and thermal load on the precise flame structure and the pollutant emission in the metal fiber burner.

A MATRIX PENCIL APPROACH COMPUTING THE ELEMENTARY DIVISORS OF A MATRIX : NUMERICAL ASPECTS AND APPLICATIONS

  • Mitrouli, M.;Kalogeropoulos, G.
    • Journal of applied mathematics & informatics
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    • v.5 no.3
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    • pp.717-734
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    • 1998
  • In the present paper is presented a new matrix pencil-based numerical approach achieving the computation of the elemen-tary divisors of a given matrix $A \in C^{n\timesn}$ This computation is at-tained without performing similarity transformations and the whole procedure is based on the construction of the Piecewise Arithmetic Progression Sequence(PAPS) of the associated pencil $\lambda I_n$ -A of matrix A for all the appropriate values of $\lambda$ belonging to the set of eigenvalues of A. This technique produces a stable and accurate numerical algorithm working satisfactorily for matrices with a well defined eigenstructure. The whole technique can be applied for the computation of the first second and Jordan canonical form of a given matrix $A \in C^{n\timesn}$. The results are accurate for matrices possessing a well defined canonical form. In case of defective matrices indications of the most appropriately computed canonical form. In case of defective matrices indication of the most appropriately computed canonical form are given.

Numerical analysis of propagation of macrocracks in 3D concrete structures affected by ASR

  • Moallemi, S.;Pietruszczak, S.
    • Computers and Concrete
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    • v.22 no.1
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    • pp.1-10
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    • 2018
  • In this study an implicit algorithm for modeling of propagation of macrocracks in 3D concrete structures suffering from alkali-silica reaction has been developed and implemented. The formulation of the problem prior to the onset of localized deformation is based on a chemo-elasticity approach. The localized deformation mode, involving the formation of macrocracks, is described using a simplified form of the strong discontinuity approach (SDA) that employs a volume averaging technique enhanced by a numerical procedure for tracing the propagation path in 3D space. The latter incorporates a non-local smoothening algorithm. The formulation is illustrated by a number of numerical examples that examine the crack propagation pattern in both plain and reinforced concrete under different loading scenarios.